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29505056 = 257231607
BaseRepresentation
bin111000010001…
…1011000100000
32001112000022212
41300203120200
530023130211
62532221252
7505534400
oct160433040
961460285
1029505056
1115722649
129a6a828
136160919
143cc0800
1528cc38b
hex1c23620

29505056 has 72 divisors (see below), whose sum is σ = 69866496. Its totient is φ = 12216960.

The previous prime is 29505041. The next prime is 29505061. The reversal of 29505056 is 65050592.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48305 + ... + 48911.

It is an arithmetic number, because the mean of its divisors is an integer number (970368).

Almost surely, 229505056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34933248).

29505056 is an abundant number, since it is smaller than the sum of its proper divisors (40361440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29505056 is a wasteful number, since it uses less digits than its factorization.

29505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 29505056 is about 5431.8556681856. The cubic root of 29505056 is about 309.0049817136.

The spelling of 29505056 in words is "twenty-nine million, five hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 607 784 868 992 1214 1519 1568 1736 2428 3038 3472 4249 4856 6076 6944 8498 9712 12152 16996 18817 19424 24304 29743 33992 37634 48608 59486 67984 75268 118972 131719 135968 150536 237944 263438 301072 475888 526876 602144 922033 951776 1053752 1844066 2107504 3688132 4215008 7376264 14752528 29505056